Holomorphic mappings of bounded type
Let \(E\) be a Banach space. It is proved, that the Fréchet space \({\mathcal H}_ b(E)\) is the strong dual of an (LB)-space, \({\mathcal P}_ b(E)\), which leads to a linearization of the holomorphic mappings of bounded type. Moreover, it is shown that the holomorphic functions defined on (DFC)-spaces are of uniformly bounded type.
linearization of the holomorphic mappings of bounded type
(DFC)-spaces are of uniformly bounded type
scientific article; zbMATH DE number 62808
scientific article